• Online Convex Optimization (OCO) is a field in the intersection of game theory, optimization, and machine learning which has been receiving increasing attention due to its recent applications to a wide range of topics such as complexity theory and graph sparsification. (ubc.ca)
  • Besides the usually simple description and implementation of OCO algorithms, a lot of this recent success is due to a deepening of our understanding of the OCO setting and their algorithms by using cornerstone ideas from convex analysis and optimization such as the powerful results from convex duality theory. (ubc.ca)
  • In this text we present a mostly self-contained introduction to the field of online convex optimization. (ubc.ca)
  • We first describe the online learning and online convex optimization settings, proposing an alternative way to formalize both of them so we can make formal claims in a clear and unambiguous fashion while not cluttering the readers understanding. (ubc.ca)
  • In the theory of convex optimization, the derivative of the objective function including the gradient and the Hessian is typically used to search the optimum point. (ieice.org)
  • O. Güler, On the convergence of the proximal point algorithm for convex optimization , SIAM J. Control Optim. (aimsciences.org)
  • We analyze the minimax regret of the adversarial bandit convex optimization problem. (videolectures.net)
  • Of particular interest are convex optimization approaches that consist of minimizing a criteria generally composed of two terms: a data fidelity (linked to noise) term and a prior (regularization) term. (spie.org)
  • Within this framework, we show that tasks and their structure can be efficiently learned considering a convex optimization problem that can be approached by means of block coordinate methods such as alternating minimization and for which we prove convergence to the global minimum. (mlr.press)
  • With respect to algorithms for OCO, we first present and analyze the Adaptive Follow the Regularized Leader (AdaFTRL) together with an analysis which relies mainly on the duality between strongly convex and strongly smooth functions. (ubc.ca)
  • In this paper, we extend the geometric descent method recently proposed by Bubeck, Lee and Singh to tackle nonsmooth and strongly convex composite problems. (nips.cc)
  • We overcome this challenge by designing normalized gradient descent-based algorithms and showed near-optimal convergence rates for smooth and strongly convex functions. (ucla.edu)
  • Can you make a more focused beam by using convex and concave lens? (physicsforums.com)
  • Can a convex reflection be corrected using a concave mirror? (physicsforums.com)
  • Kuo is suggesting that the new iPhone represents the perfect opportunity for Apple to move from a concave home button design to one that is convex. (redmondpie.com)
  • A convex lens, which has a positive focal length, brings light rays to a single point , while a concave lens, with a negative focal length, disperses the light rays . (phys.org)
  • We found that wide-focal length tuning from convex to concave can be achieved by rotational moiré metalenses," Iwami said. (phys.org)
  • It was investigated the monocular perception of depth or relief of objective concave and convex masks. (bvsalud.org)
  • The study included 40 students, who judge the depth or relief of a concave and a convex mask. (bvsalud.org)
  • When asked to evaluate the distance in centimeters from the tip of the nose to the base of the mask, the major extensions were appointed to the convex mask, compared to concave. (bvsalud.org)
  • To test whether the emergence profile (CONVEX or CONCAVE) of implant-supported crowns influences the mucosal margin stability up to 12 months after insertion of the final restoration. (bvsalud.org)
  • The frequency of mucosal recession amounted to 64.3% in group CONVEX, 14.3% in group CONCAVE, and 31.4% in group CONTROL. (bvsalud.org)
  • Regression models revealed that a CONVEX profile was significantly associated with the presence of recessions ( odds ratio 12.6, 95% confidence interval 1.82-88.48, p = .01) compared with the CONCAVE profile. (bvsalud.org)
  • Pink aesthetic scores amounted to 5.9 in group CONVEX, 6.2 in group CONCAVE, and 5.4 in group CONTROL, with no significant differences between the groups (p = .735). (bvsalud.org)
  • Groups CONVEX and CONCAVE increased the appointments and costs compared with the CONTROL group . (bvsalud.org)
  • The use of implant-supported provisionals with a CONCAVE emergence profile results in a greater stability of the mucosal margin compared with a CONVEX profile up to 12 months of loading. (bvsalud.org)
  • Like all plano-convex lenses, these lenses have a positive focal length and near-best-form shape for infinite and finite conjugate applications. (thorlabs.com)
  • Our N-BK7 plano-convex lenses are available uncoated or with one of five antireflection coatings (-A, -AB, -B, -C, or -D), which reduce the amount of light reflected from each surface of the lens over the specified wavelength range. (thorlabs.com)
  • see Section 3 of Stanley's Decompositions of rational convex polytopes . (mathoverflow.net)
  • In this paper, we introduce an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a constrained convex minimization problem for a Fr\'{e}chet differentiable function. (aimsciences.org)
  • 50mm diameter double convex lens is made of plate glass with a carefully ground and polished optical surface and cleanly ground edges. (arborsci.com)
  • The SPX029AR.2 High Energy Fused Silica Lens is an AR.2 coated (at 532 nm), 1 inch (25.4 mm) diameter, HPFS 7978 plano-convex lens with an effective focal length of 250.0 mm at 546.1 nm. (newport.com)
  • Knowing about convex shapes can help students understand different properties of the shape, such as the area and circumference. (intmath.com)
  • What is a Convex Shape? (intmath.com)
  • A convex shape is any two-dimensional object that has all its interior angles less than 180 degrees. (intmath.com)
  • The classic example of a convex shape is a triangle with three sides and three angles, all of which measure less than 180 degrees. (intmath.com)
  • Understanding what makes up a convex shape-which is any two-dimensional object with all interior angles measuring less than 180 degrees-can provide helpful context when solving challenging problems related to these objects. (intmath.com)
  • A convex set function is a mathematical expression used to describe the shape and size of a given convex set. (intmath.com)
  • These Espro tampers feature stainless steel convex bases and are available in 49, 53, 57 and 58mm sizes, and all tamper sizes feature a polished black handle. (wholelattelove.com)
  • These professional Lustrum Convex Cocktail Shakers come in four sizes and are made of brilliant 18/10 stainless steel. (winestuff.com)
  • R. T. Rockafellar "Duality theorems for convex functions," Bulletin of the American Mathematical Society, Bull. (projecteuclid.org)
  • Instead, we use minimax duality to reduce the problem to a Bayesian setting, where the convex loss functions are drawn from a worst-case distribution, and then we solve the Bayesian version of the problem with a variant of Thompson Sampling. (videolectures.net)
  • Bassanelli, Giovanni Transforms of currents by modifications and 1-convex manifolds , Osaka J. Math. (numdam.org)
  • Convex was formed in 1982 by Bob Paluck and Steve Wallach in Richardson, Texas. (wikipedia.org)
  • Create Convex Hull WITHOUT triangulating? (inivis.com)
  • I there a toggle setting (on/off) or something that I can specify that when I choose 'create convex hull' from vertices. (inivis.com)
  • A convex hull must be made from triangles but there is a 'quadrangulate' coming in the next version which would probably help. (inivis.com)
  • Do not confuse this with an (abstract) convex set , which a special kind of convex space, also defined below. (ncatlab.org)
  • begingroup$ So does that mean it is an open problem and I can't find the vertices of a convex polytope in general? (mathoverflow.net)
  • A homomorphism of convex spaces may be called a convex-linear map or an affine linear map (since an affine space is a convex space with extra properties, as in the examples below). (ncatlab.org)
  • Leoni, Marco Some examples of 1-convex non-embeddable threefolds , Rev. Roumaine Math. (numdam.org)
  • Examples of convex angles include those found in triangles and other polygonal shapes. (intmath.com)
  • In this file we prove that a (star) convex set in a real topological vector space is a contractible topological space. (brown.edu)
  • If a state fails the first program, it is not convex-Gaussian, and if it is passes the new one, it is convex-Gaussian. (cam.ac.uk)
  • Bassanelli, G. On the embedding of 1-convex manifolds with 1-dimensional exceptional set , Ann. (numdam.org)
  • A. Michael Muscolino, cofounder and partner of Sixth Street, said: "With an exceptional track record and disciplined team of underwriters, Convex is uniquely positioned to pursue opportunities made available by a hardening market. (royalgazette.com)
  • Move the arrow to the right side of the mirror to get a convex mirror. (geogebra.org)
  • Hello everyone, In stand up paddle boarding, the correct way to use the paddle when moving forward is to have the paddle convex side facing rearward while the paddle pushes water backward. (physicsforums.com)
  • This is explained by the fact that the paddle generates a lift force pointing backward if the convex side of the paddle is moving backward. (physicsforums.com)
  • ces, convex side. (cdc.gov)
  • One side is flat, the other is convex. (lu.se)
  • Anterior implant restorations with a convex emergence profile increase the frequency of recession: 12-month results of a randomized controlled clinical trial. (bvsalud.org)
  • HP sold Convex Exemplar machines under the S-Class (MP) and X-Class (CC-NUMA) titles, and later incorporated some of Exemplar's technology into the V-Class machine, which was released running the HP-UX 11.0 release instead of the SPP-UX version which was sold with the S- and X-Class products. (wikipedia.org)
  • The method is explored on a set of synthetic dealt with in a straightforward way using ``stan- problems, which are generated to resemble two dard'' ANN energy functions similar to those en- real-world problems representing long and medi- countered in spin physics. (lu.se)
  • The Antique Gold Decorative Frame Convex Mirror is a statement mirror that brings effortless style to your walls! (rockettstgeorge.co.uk)
  • Designed with a convex mirror at the cent. (rockettstgeorge.co.uk)
  • Designed with a convex mirror at the centre, the decorative frame is finished in an antique gold colour palette that goes with everything. (rockettstgeorge.co.uk)
  • Mirrors are a must-have for spaces both large and small and the Antique Gold Decorative Frame Convex Mirror is the perfect design to display anywhere from your bathroom to your hallway or bedroom. (rockettstgeorge.co.uk)
  • Taira Shirota "On locally convex vector spaces of continuous functions," Proceedings of the Japan Academy, Proc. (projecteuclid.org)
  • We show that if the underlying domain is a bounded convex domain, then the extremal functions are determined up to a multiplicative factor. (rutgers.edu)
  • Our analysis features a novel use of convexity, formalized as a ``local-to-global'' property of convex functions, that may be of independent interest. (videolectures.net)
  • In order to lower costs, the Convex designs were not as technologically aggressive as Cray's, and were based on more mainstream chip technology, attempting to make up for the loss in performance in other ways. (wikipedia.org)
  • In order to show that a function is convex, it must be shown that the second derivative of the function is always greater than or equal to zero. (intmath.com)
  • Made with the same premium quality and perfect seal as other Lustrum Cocktail Shakers, The Lustrum Convex Cocktail Shakers have rounded rather than smooth shells. (winestuff.com)
  • But the type of customers Convex attracted believed in Fortran and brute force rather than sophisticated technology. (wikipedia.org)
  • By learning more about how convex shapes work in geometry, students can gain valuable insight into both mathematics and science topics related to this type of figure. (intmath.com)
  • In 1994, Convex introduced an entirely new design, known as the Exemplar. (wikipedia.org)
  • The sunken design of the button has been consistent with every iPhone launch since 2007, but Kuo is arguing that space limitations would prevent a fingerprint sensor being added to the device, with the raised convex design being the perfect solution. (redmondpie.com)
  • John Huff, president and chief executive officer, Association of Bermuda Insurers and Reinsurers, said the launch of Convex Group, a $1.8-billion AM Best-rated startup, demonstrates the vibrancy of the island as an insurance and reinsurance domicile. (ambest.com)
  • Commercial re/insurer Convex Group Ltd has ramped up its total committed capital to $3.2 billion after a $500 million investment from US investment firm Sixth Street. (royalgazette.com)
  • We then present an overview of the main concepts of convex analysis we use, with a focus on building intuition. (ubc.ca)
  • Convex Computer Corporation was a company that developed, manufactured and marketed vector minisupercomputers and supercomputers for small-to-medium-sized businesses. (wikipedia.org)
  • Convex underwrites insurance and reinsurance across a diverse range of business lines including aerospace, casualty, energy, marine, property and other lines of business. (royalgazette.com)
  • In geometry, one of the most important categories is convex shapes. (intmath.com)
  • Assura Convex Light, Standard Wear Barrier with Belt Tabs is a hallow convexity for flush or slightly retracted stomas providing flexibility, security, and low pressure to the abdomen. (allegromedical.com)
  • This follows from Isbell's theorem on left adequate subcategories for algebraic theories, using the fact that the free convex space on 2 elements is the unit interval. (ncatlab.org)
  • The foot is flat or convex and dorsiflexed with the heel turned outward. (msdmanuals.com)
  • Health hazard evaluation report: HETA-89-137-2005, Eagle Convex Glass Company, Clarksburg, West Virginia. (cdc.gov)
  • The monad assigning to any set the free convex space on that set is a finitary commutative monad (see Jacobs (2010) ). (ncatlab.org)
  • This allows us to think of convex spaces as 'modules' of a generalized ring, very much as vector spaces are modules of a field. (ncatlab.org)